Plausibility to get straight in a certain poker situation

Hello,

I am currently working on some on the math behind poker, and I am stuck. I a poker situation, where there are five active players. They got these hands (I'm not english, so I hope I get the name of the cards correct):

Player 1 : Ace Clubs, Ace Diamonds

Player 2: 9 Spades, 10 Spades

Player 3: 9 Hearts, 10 Hearts

Player 4: 9 Diamonds, 10 Diamonds

Player 5: 9 Clubs, 10 Clubs

So my question is, what's the plausibilities that Player 2 - 5 get's straight? I'm not interested in any calculators, I want to know the exact math behind it :)

Thx in advance.

You left out the flavor of poker that these people are playing. Is it Texas Hold'em?

Because there's so many variants of poker that start with two hole cards and proceed to deal more competing in popularity.

I'll simplify. How many more cards will be dealt?

Quote: s2dbaker

I'll simplify. How many more cards will be dealt?

Five: three on the flop, the turn and the river, since Texas Hold'em is the only less than particularly eccentric variant of poker where the play starts with two cards to each player; others deal more.

Quote: P90

Texas Hold'em is the only less than particularly eccentric variant of poker where the play starts with two cards to each player; others deal more.

Five card stud?

It's normal texas hold'em.

Quote: Slason

... there are five active players. .

I assume all the players will stay in to the showdown.

Would you consider a straight flush a straight for the purpose of this exercise? Also, would a straight that will lose to a flush or better still count?

Edit: Assume a straight on the board is a straight as well?

With the cards remaining in the deck, there are 850,668 possible outcomes.

Here is the breakout of what poker hands may fall for hands 2 and 3:

Nothing: 247,664
Pair: 323,424
Two Pair: 51,705
Three of a Kind: 23,838
Straight: 113,074
Flush: 85,520
Full House: 2,200
Four of a Kind: 380
Straight Flush: 2,825
Royal Straight Flush: 38

Here is the breakout of what poker hands may fall for hands 4 and 5:

Nothing: 247,416
Pair: 331,776
Two Pair: 52,380
Three of a Kind: 24,108
Straight: 114,740
Flush: 64,805
Full House: 2,200
Four of a Kind: 380
Straight Flush: 2,863
Royal Straight Flush: 0

The 9, 10 of hands 2 and 3 will beat the pocket rockets 179,786 times
The 9, 10 of hands 2 and 3 will lose to the pocket rockets 668,194 times
The 9, 10 of hands 2 and 3 will tie the pocket rockets 2,688 times

The 9, 10 of hands 4 and 5 will beat the pocket rockets 165,008 times
The 9, 10 of hands 4 and 5 will lose to the pocket rockets 682,429 times
The 9, 10 of hands 4 and 5 will tie the pocket rockets 3,231 times